Details

sample188.0ms

Algorithm

intervals

Results

71.0ms	764×	body	80	nan
40.0ms	191×	body	80	valid
10.0ms	29×	body	320	valid
10.0ms	9×	body	1280	valid
7.0ms	14×	body	640	valid
3.0ms	13×	body	160	valid

simplify7.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2850
6	1322
5	620
4	304
3	130
2	57
1	27
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.1b	(* (- x 1.0) (log y))
5.1b	(log (- 1.0 y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`log-prod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

37.0ms	(- (* (- x 1.0) (log y)) t)
1.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
35.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series460.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (* (- x 1.0) (log y)) t)
234.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
83.0ms	(* (- x 1.0) (log y))
47.0ms	(log (- 1.0 y))

simplify2.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	4572
2	1385
1	513
0	217

prune685.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.0b	(- (* (- x 1.0) (log y)) t)
0.1b	(* (- x 1.0) (log y))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate--l+`
5×	`add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

0.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
40.0ms	(- (* (- x 1.0) (log y)) t)
43.0ms	(* (- x 1.0) (log y))

series445.0ms

Counts

3 → 9

Calls

3 calls:

242.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
102.0ms	(- (* (- x 1.0) (log y)) t)
100.0ms	(* (- x 1.0) (log y))

simplify2.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5010
3	3548
2	1036
1	406
0	172

prune613.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
0.3b	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`frac-add`
22×	`associate-r`
18×	`flip3--` `associate-*r/` `flip--`
16×	`add-cube-cbrt`
12×	`cbrt-prod` `associate-+r+` `log-prod` `associate-*l/`
10×	`distribute-lft-out--`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `distribute-rgt-out` `distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`pow1/3`
2×	`associate-+l+` `distribute-lft1-in` `distribute-rgt1-in` `log-pow`
1×	`+-commutative` `sum-log` `fma-def` `count-2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

160.0ms	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
88.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (log (cbrt y)) (+ (- x 1.0) (- x 1.0)))
384.0ms	(+ (* (log (cbrt y)) (+ (- x 1.0) (- x 1.0))) (* (- x 1.0) (log (cbrt y))))
296.0ms	(cbrt y)
228.0ms	(cbrt y)

simplify2.6s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	4001
1	888
0	250

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

30.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
4.0ms	(cbrt (sqrt y))
3.0ms	(cbrt (sqrt y))
2.0ms	(cbrt y)

series942.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
178.0ms	(cbrt (sqrt y))
199.0ms	(cbrt (sqrt y))
293.0ms	(cbrt y)

simplify2.5s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
4	4149
3	1239
2	496
1	198
0	98

prune893.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes487.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	26

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.5s	24335×	body	80	nan
714.0ms	5966×	body	80	valid
500.0ms	713×	body	640	valid
289.0ms	698×	body	320	valid
246.0ms	257×	body	1280	valid
81.0ms	405×	body	160	valid